대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제36권4호
  • /
  • Pages.835-840
  • /
  • 2021
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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RATIONALIZED EVALUATION SUBGROUPS OF THE COMPLEX HOPF FIBRATION

  • Maphane, Oteng (Department of Mathematics and Statistical Sciemces Botswana International University of Science and Technology)
  • 투고 : 2020.09.08
  • 심사 : 2020.11.23
  • 발행 : 2021.10.31
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초록

In this paper, we compute the rational evaluation subgroup of the Hopf fibration S2n+1 ↪ ℂP(n). We show that, for the Sullivan model 𝜙 : A → B, where A and B are the minimal Sullivan models of ℂP(n) and S2n+1 respectively, the evaluation subgroup Gn(A, B; 𝜙) and the relative evaluation subgroup Greln (A, B; 𝜙) of 𝜙 are generated by single elements.

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과제정보

This work was completed with the support of the Botswana International University of Science and Tecnnology (BIUST).

참고문헌

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